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kakasveta [241]
2 years ago
9

What is the Y-Intercept?

Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0

Answer: The y-intercept is 1

Step-by-step explanation:

On a graph, the y-intercept is the point where the line intersects the y-axis. The corresponding x-coordinate is always 0. ... When a linear equation is written in slope-intercept form (y=mx+b), the slope is represented by the variable m. It is the coefficient to x in the equation.

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A car travelled 100 km with half the distance at 40 km/h and the other half at 80 km/h. Find the average speed of the car for th
Nana76 [90]
We must look at this question in steps
The first half of the journey is travelled at 40 km/h
Half of 100km is 50 km
Using the formula
Distance = Speed x Time
Speed = Distance / Time
Time = Distance / Speed
We can work out the time:

50km / 40km/h = 1.25 hours

Next we look at the second half of the journey
50km at 80km/h
50km / 80km/h = 0.625 hours

Add together both times to work out how long the entire journey took
1.25 + 0.625 = 1.875 hours

Using the Speed formula from before
Speed = 100km / 1.875 =
53 1/3 km/h or 53.3 recurring km/h
6 0
3 years ago
A recipe calls for 2/5 cup of sugar for every 8 teaspoons of vanilla. What is the unit rate in teaspoons per cup ?
tamaranim1 [39]
For 2/5 cup, vanilla needed = 8 teaspoons
so, for 1 cup, it would be: 8 / 2/5
⇒8 × 5/2
⇒40/2
⇒20

In short, Your Answer would be 20 teaspoons

Hope this helps!
7 0
3 years ago
Read 2 more answers
Joaquin has $1,300 in the bank and has investments worth $4,000. He also has $7,000 worth of credit card debt. What is Joaquin's
svetlana [45]
The answer to this question would be: <span>-$1,700

In this question, we can separate the account into positive/debit and negative/credit value. The positive/debit value should be:

Joaquin has $1,300 in the bank
He has $4,000 worth of investment
Total positive value = $1300 + $4000= $5300

The negative value should be 
</span><span>$7,000 worth of credit card debt
</span>Total positive value =$7000
<span>
Then the net worth should be: $5300 - $7000= -$1700</span>
7 0
3 years ago
In a lottery game, a player picks six numbers from 1 to 22. If the player matches all six numbers, they win 20,000 dollars. Othe
Angelina_Jolie [31]

Answer:

Total possible number of outcomes = C(24,6) [24 choose 6]

=24!/(6!18!)

= 134596

Out of which there is only one winning combination.

Therefore we conclude:

P(win 20000)=1/134596

P(lose 1)=134595/134596

and hence the expected value is:

20000*(1/134596)+(-1)*(134595/134596)

=-114595/134596

=-0.8514 (rounded to four places after decimal)

Step-by-step explanation:

Hope this helped!

8 0
3 years ago
The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).
Alex787 [66]

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

Discriminate  = sqrt(  (-4)^2 - 4 * (1)(4) )

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is -  b / 2a = 4/(2*1) = - -2 = 2

3 0
2 years ago
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